Title
Maximizing the number of broadcast operations in static random geometric ad-hoc networks
Abstract
We consider static ad-hoc wireless networks where nodes have the same initial battery charge and they may dynamically change their transmission range at every time slot. When a node v transmits with range r(v), its battery charge is decreased by β × r(v)2 where β 0 is a fixed constant. The goal is to provide a range assignment schedule that maximizes the number of broadcast operations from a given source (this number is denoted as the length of the schedule). This maximization problem, denoted as MAX LIFETIME, is known to be NP-hard and the best algorithm yields worst-case approximation ratio Θ(log n), where n is the number of nodes of the network [5]. We consider random geometric instances formed by selecting n points independently and uniformly at random from a square of side length √n in the Euclidean plane. We first present an efficient algorithm that constructs a range assignment schedule having length, with high probability, not smaller than 1/12 of the optimum. We then design an efficient distributed version of the above algorithm where nodes initially know n and their own position only. The resulting schedule guarantees the same approximation ratio achieved by the centralized version thus obtaining the first distributed algorithm having provably-good performance for this problem.
Year
DOI
Venue
2007
10.1007/978-3-540-77096-1_18
Lecture Notes in Computer Science
Keywords
Field
DocType
algorithm yield,transmission range,approximation ratio,battery charge,resulting schedule,n point,broadcast operation,side length,efficient algorithm,log n,random geometric ad-hoc network,range assignment schedule,ad hoc network,distributed algorithm,ad hoc wireless network
Battery charge,Discrete mathematics,Binary logarithm,Wireless network,Broadcasting,Computer science,Distributed algorithm,Euclidean geometry,Wireless ad hoc network,Maximization,Distributed computing
Conference
Volume
ISSN
ISBN
4878
0302-9743
3-540-77095-X
Citations 
PageRank 
References 
1
0.35
23
Authors
4
Name
Order
Citations
PageRank
Tiziana Calamoneri151146.80
andrea e f clementi2171.34
Emanuele G. Fusco3869.03
Riccardo Silvestri4132490.84